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Finding the Fourth Proportional to 642.06, 961.80 and 446.40

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Solution

The fourth proportional to 642.06, 961.80 and 446.40 is: 668.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 961.80 = 446.40 : x
  2. Step 2: Convert to fraction form
    642.06/961.80 = 446.40/x
  3. Step 3: Cross multiply
    642.06x = 961.80 × 446.40
  4. Step 4: Simplify right side
    642.06x = 429,347.52
  5. Step 5: Solve for x
    x = 429,347.52/642.06
  6. Step 6: Final answer
    x = 668.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.